Kernels-isomorphisms and fields

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Reference no: EM13126447

Let F be a field, let R be a ring with more than one element, and let phi:F->R be a surjective homomorphism.

a. Find Ker(phi)?

b. Prove that phi is an isomorphism?

c. Use the Fundamental Isomorphism Theorem to prove that R is a field?

Reference no: EM13126447

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